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Finding the Fourth Proportional to 169,106.81, 253,689.44 and 56,797.88

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Solution

The fourth proportional to 169,106.81, 253,689.44 and 56,797.88 is: 85,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,106.81 : 253,689.44 = 56,797.88 : x
  2. Step 2: Convert to fraction form
    169,106.81/253,689.44 = 56,797.88/x
  3. Step 3: Cross multiply
    169,106.81x = 253,689.44 × 56,797.88
  4. Step 4: Simplify right side
    169,106.81x = 14,409,020,817.95
  5. Step 5: Solve for x
    x = 14,409,020,817.95/169,106.81
  6. Step 6: Final answer
    x = 85,206.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.